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Finding the Fourth Proportional to 15,649.77, 23,466.15 and 7,207.14

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Solution

The fourth proportional to 15,649.77, 23,466.15 and 7,207.14 is: 10,806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.77 : 23,466.15 = 7,207.14 : x
  2. Step 2: Convert to fraction form
    15,649.77/23,466.15 = 7,207.14/x
  3. Step 3: Cross multiply
    15,649.77x = 23,466.15 × 7,207.14
  4. Step 4: Simplify right side
    15,649.77x = 169,123,828.31
  5. Step 5: Solve for x
    x = 169,123,828.31/15,649.77
  6. Step 6: Final answer
    x = 10,806.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.